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The horizontal range for projectile is g...

The horizontal range for projectile is given by

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If H_(1) and H_(2) be the greatest heights of a projectile in two paths for a given value of range, then the horizontal range of projectile is given by

If H_(1) and H_(2) be the greatest heights of a projectile in two paths for a given value of range, then the horizontal range of projectile is given by

Statement I: The horizontal range of a projectile is the same for angles 30 ^@ and 60^@ of projection. Statement II: The horizontal range of projectile is independent of the angle of projection.

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Show that the horizontal range of a projectile is same for two angles of projection . Is the sum of maximum heights for these two angles dependent on the angle of projectile ?